{"id":"https://openalex.org/W4401054539","doi":"https://doi.org/10.1007/s10107-024-02124-w","title":"Convergence in distribution of randomized algorithms: the case of partially separable optimization","display_name":"Convergence in distribution of randomized algorithms: the case of partially separable optimization","publication_year":2024,"publication_date":"2024-07-27","ids":{"openalex":"https://openalex.org/W4401054539","doi":"https://doi.org/10.1007/s10107-024-02124-w"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-024-02124-w","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10107-024-02124-w","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10107-024-02124-w.pdf","source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10107-024-02124-w.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037179458","display_name":"D. L\u00fcke","orcid":"https://orcid.org/0000-0002-4508-7360"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"D. Russell Luke","raw_affiliation_strings":["Institute for Numerical and Applied Mathematics, University of Goettingen, 37083, Goettingen, Germany"],"raw_orcid":"https://orcid.org/0000-0002-4508-7360","affiliations":[{"raw_affiliation_string":"Institute for Numerical and Applied Mathematics, University of Goettingen, 37083, Goettingen, Germany","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5037179458"],"corresponding_institution_ids":[],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":{"value":2890,"currency":"USD","value_usd":2890},"fwci":0.4761,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.70606981,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":"212","issue":"1-2","first_page":"763","last_page":"798"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11413","display_name":"Risk and Portfolio Optimization","score":0.9940999746322632,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.7994306087493896},{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.7486242651939392},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7139774560928345},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.6869406700134277},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5918409824371338},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5385763049125671},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4958983361721039},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4696820378303528},{"id":"https://openalex.org/keywords/stochastic-optimization","display_name":"Stochastic optimization","score":0.4577035903930664},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.37610918283462524},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3300052285194397},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06948655843734741}],"concepts":[{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.7994306087493896},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.7486242651939392},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7139774560928345},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.6869406700134277},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5918409824371338},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5385763049125671},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4958983361721039},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4696820378303528},{"id":"https://openalex.org/C194387892","wikidata":"https://www.wikidata.org/wiki/Q1747770","display_name":"Stochastic optimization","level":2,"score":0.4577035903930664},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.37610918283462524},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3300052285194397},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06948655843734741},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10107-024-02124-w","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10107-024-02124-w","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10107-024-02124-w.pdf","source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","raw_type":"journal-article"},{"id":"pmh:oai:publications.goettingen-research-online.de:2/125275","is_oa":true,"landing_page_url":"https://resolver.sub.uni-goettingen.de/purl?gro-2/125275","pdf_url":null,"source":{"id":"https://openalex.org/S4306401634","display_name":"GoeScholar  The Publication Server of the Georg-August-Universit\u00e4t G\u00f6ttingen (Georg-August-Universit\u00e4t G\u00f6ttingen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210122495","host_organization_name":"Asklepios Klinik St. Georg","host_organization_lineage":["https://openalex.org/I4210122495"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1007/s10107-024-02124-w","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10107-024-02124-w","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10107-024-02124-w.pdf","source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3904869926","display_name":null,"funder_award_id":"SFB 1456","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G4598877500","display_name":"SFB 1456: Mathematik des Experiments: Die Herausforderung indirekter Messungen in den Naturwissenschaften","funder_award_id":"432680300","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4401054539.pdf"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W1493782845","https://openalex.org/W1519336346","https://openalex.org/W1522579744","https://openalex.org/W1947202642","https://openalex.org/W1953936588","https://openalex.org/W2000769684","https://openalex.org/W2012180727","https://openalex.org/W2033390858","https://openalex.org/W2045286779","https://openalex.org/W2054086511","https://openalex.org/W2063832730","https://openalex.org/W2069435104","https://openalex.org/W2075660001","https://openalex.org/W2093417350","https://openalex.org/W2095984592","https://openalex.org/W2117686388","https://openalex.org/W2272509765","https://openalex.org/W2284213034","https://openalex.org/W2315925303","https://openalex.org/W2326660646","https://openalex.org/W2396782186","https://openalex.org/W2592062427","https://openalex.org/W2779251526","https://openalex.org/W2802739963","https://openalex.org/W2892154138","https://openalex.org/W2895221108","https://openalex.org/W2898569439","https://openalex.org/W2963434703","https://openalex.org/W3100111638","https://openalex.org/W3102647677","https://openalex.org/W3102690314","https://openalex.org/W3104222435","https://openalex.org/W3105289409","https://openalex.org/W3153183982","https://openalex.org/W4232230292","https://openalex.org/W4233762729"],"related_works":["https://openalex.org/W2009525028","https://openalex.org/W4321064619","https://openalex.org/W3103325625","https://openalex.org/W1486898455","https://openalex.org/W2076561698","https://openalex.org/W2053599029","https://openalex.org/W2962925412","https://openalex.org/W2023672523","https://openalex.org/W4387870386","https://openalex.org/W2154682027"],"abstract_inverted_index":{"Abstract":[0],"We":[1,97],"present":[2],"a":[3,61,79,114],"Markov-chain":[4],"analysis":[5],"of":[6,36,44,49,51,54,64,67,82,92,104],"blockwise-stochastic":[7],"algorithms":[8,89,109],"for":[9,110],"solving":[10],"partially":[11],"block-separable":[12],"optimization":[13],"problems.":[14],"Our":[15],"main":[16],"contributions":[17],"to":[18,88],"the":[19,28,34,42,52,55,65,68,72,105],"extensive":[20],"literature":[21],"on":[22,100],"these":[23],"methods":[24],"are":[25],"statements":[26],"about":[27],"Markov":[29,45,57],"operators":[30,46],"and":[31,39,47,107],"distributions":[32,53],"behind":[33],"iterates":[35],"stochastic":[37,101],"algorithms,":[38],"in":[40],"particular":[41],"regularity":[43],"rates":[48],"convergence":[50],"corresponding":[56],"chains.":[58],"This":[59,75],"provides":[60],"detailed":[62],"characterization":[63],"moments":[66],"sequences":[69],"beyond":[70],"just":[71],"expected":[73],"behavior.":[74],"also":[76],"serves":[77],"as":[78,113],"case":[80],"study":[81],"how":[83],"randomization":[84],"restores":[85],"favorable":[86],"properties":[87],"that":[90],"iterations":[91],"only":[93],"partial":[94],"information":[95],"destroys.":[96],"demonstrate":[98],"this":[99],"blockwise":[102],"implementations":[103],"forward\u2013backward":[106],"Douglas\u2013Rachford":[108],"nonconvex":[111],"(and,":[112],"special":[115],"case,":[116],"convex),":[117],"nonsmooth":[118],"optimization.":[119]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1}],"updated_date":"2026-08-06T08:24:18.245995","created_date":"2025-10-10T00:00:00"}